Answer:
(6,-1)
Step-by-step explanation:
Hi there!
We are given the following system:
x-2y=8
8x+6y=42
And we want to solve it by substitution
Substitution is where we solve one of the equations in the system for a variable for an expression containing the other variable, then substitute that expression into the other equation, then solve the equation for that variable, then use the value of the solved variable to find the value of the first variable.
It's easier to solve a system for a variable if the leading coefficient in front of a variable is 1, like with x in x-2y=8
So let's solve the equation for x.
add 2y to both sides
x-2y=8
+2y +2y
________________
x=2y+8
Now substitute 2y+8 as x in 8x+6y=42
8(2y+8)+6y=42
Multiply
16y+64+6y=42
Subtract 64 from both sides
16y+6y=-22
Add 16y and 6y together
22y=-22
Divide both sides by 22
y=-1
Substitute -1 as y into x=2y+8 to solve for x
x=2(-1)+8
Multiply
x=-2+8
x=6
The answer is x=6, y=-1, or as a point, (6, -1)
Hope this helps!
See more on solving systems of equations by substitution here: https://brainly.com/question/26559381
